Pith Number

pith:Z7KRLUZO

pith:2012:Z7KRLUZOHTW62JDPVBB4Y73VHM

not attested not anchored not stored refs pending

A second derivative H\"{o}lder estimate for weak mean curvature flow

Yoshihiro Tonegawa

arxiv:1204.4571 v1 · 2012-04-20 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7KRLUZOHTW62JDPVBB4Y73VHM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:13:10.082951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd515d32e3ceded246fa843cc7f753b390dee779c956a55b3bf35b213a9aa93

Aliases

arxiv: 1204.4571 · arxiv_version: 1204.4571v1 · doi: 10.48550/arxiv.1204.4571 · pith_short_12: Z7KRLUZOHTW6 · pith_short_16: Z7KRLUZOHTW62JDP · pith_short_8: Z7KRLUZO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z7KRLUZOHTW62JDPVBB4Y73VHM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cfd515d32e3ceded246fa843cc7f753b390dee779c956a55b3bf35b213a9aa93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473dce1f09325ac163f397e3605eaf3a47692b5259571c814ad4d6cc80e297ad",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-20T09:42:06Z",
    "title_canon_sha256": "157b68e3aba8e88cdeb40a4799c828ce94378e4c669937c7c314e8bf923e267c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4571",
    "kind": "arxiv",
    "version": 1
  }
}